Is it normal that after using Normaclin gel my face itches and I have even greater breakouts?

Normaclin may cause side effects such as those you have described. Possible side effects specified in the summary of product characteristics: "Skin and subcutaneous tissue disorders: excessive drying of the skin, burning, itching, erythema, contact dermatitis, oily skin, folliculitis, allergic reactions (possible late type reactions), skin irritation, irritation of the skin around the eyes." If you have observed such symptoms, it is worth consulting with your doctor the legitimacy of further use of this preparation. I encourage you to read: https://www.gdziepolek.pl/kategorie/tradzik